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SPINES AND EMBEDDINGS OF n-MANIFOLDS

Published online by Cambridge University Press:  01 February 1999

SERGEI MATVEEV  and
DALE ROLFSEN
SERGEI MATVEEV
Affiliation:
Department of Mathematics, Chelyabinsk University, Chelyabinsk 454136, Russia
DALE ROLFSEN
Affiliation:
Mathematics Department, University of British Columbia, Vancouver, Canada V6T 1Z2
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Abstract

Every compact, connected PL manifold Mn, with ∂Mn≠[emptyv ], collapses to a codimension-one subpolyhedron Qn−1, called a spine of Mn. The purpose of this paper is to prove that, if Qn−1 is appropriately chosen, one can reconstruct Mn from Qn−1, after taking the Cartesian product with an interval I=[0, 1].

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 359 - 368
Copyright
The London Mathematical Society 1999

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